JEE Advanced Solved Mathematics Paper-1 Set X

Hariom Singh

May 18, 2017 16:58 IST

IIT JEE Examination is held to give admission to IITs. This examination is held at two levels: JEE Main and JEE Advanced.

About Paper

This JEE Advanced Solved Mathematics Paper-1 in this article consists of 18 questions divided into three sections. The questions in this paper have been asked from the complete syllabus. Each question of this paper is very important from examination point of view and has been developed very carefully by Subject Experts at Jagranjosh.

Importance of Practice Papers

Practicing sample papers, practice papers and previous years’ question papers help in assessing your preparation and time management. It will also help in increasing your marks in examination.

Few questions from the practice paper are given below:

Q. A committee of 6 is chosen from 10 men and 7 women so as to contain atleast 3 men and 2 women. The number of ways this can be done, if two particular women refuse to serve on the same committee, is

(a) 8000

(b) 7900

(c) 7800

(d) 7700

Ans. (c):

Sol.

Let the men be M1, M2, …, M10 and women be W1, W2, …, W7. 6 person is chosen in a committee so that it contain atleast 3 men and 2 women.

So, the six member committee can contain 4 men and 2 women or 3 men and 3 women.

Let W1 and W2 do not want to be on the same committee.

Q. A rectangular sheet of fixed perimeter with sides having their length in the ratio 8 : 15 is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. The lengths of the sides of the rectangular sheet are

(a) 24

(b) 32

(c) 45

(d) 60

Sol.

Correct Answer: (a, c)

Q.Let y = f(x) be a curve in the first quadrant such that the triangle formed by the co-ordinate axes and the tangent at any point on the curve has area 2. If y(1) = 1, then y(2) =

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